1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
svlad2 [7]
2 years ago
9

What is the solution to the inequality in interval notation? |4x+6|≤14

Mathematics
1 answer:
alexandr1967 [171]2 years ago
6 0

Answer: x>5

Step-by-step explanation: The Absolute Value term is |4x+6|

For the Negative case, we'll use -(4x+6)

For the Positive case, we'll use (4x+6)

-(4x+6) = 14

    Multiply

     -4x-6 = 14

    Rearrange and Add up

     -4x = 20

    Divide both sides by 4

     -x = 5

    Multiply both sides by (-1)

     x = -5

    Which is the solution for the Negative Case

(4x+6) = 14

    Rearrange and Add up

     4x = 8

    Divide both sides by 4

     x = 2

x=-5

x=2

You might be interested in
3.5−2.46=1.16
damaskus [11]

Answer:

3.5

−2.46

1.16 error aligning the decimal point.

Do this instead

3.50

- 2.46

1.04

6 0
3 years ago
8. Solve the formula K = 3M - 7 for M
mamaluj [8]

Answer:

m = \frac{k + 7}{3}

Step-by-step explanation:

k = 3m - 7

k + 7 = 3m - 7 + 7

k + 7 = 3m

\frac{k + 7}{3} = m

(I'm not 100% sure fyi)

7 0
2 years ago
I WILL GIVE BRAINLIEST TO TE CORRECT ANSWER
crimeas [40]

Answer:

Matthew drank 4 more glasses of water than Nicole: equation

Four more glasses of water than Nicole: expression

Step-by-step explanation:

We can model "Matthew drank 4 more glasses of water than Nicole" as an equation as follows:

m=n+4

However, "Four more glasses of water than Nicole" is only an expression. It doesn't include an equality.

5 0
2 years ago
Read 2 more answers
I need help pls.............
Sever21 [200]

Answer:

  • P = 6750n +7800r
  • n ≤ 19
  • r ≤ 31
  • 160n +620r ≤ 8110
  • n = 19
  • r = 8
  • 190,650 people

Step-by-step explanation:

This linear programming problem is described by an objective function and constraints on the variables. A graphical solution works well.

<h3>Objective function</h3>

The goal is to maximize the number of people exposed to the company's ad(s). The number of people reached is the sum of the products of the number of ads and the number reached per ad.

For n newspaper ads, we are told that 6750n people are reached.

For r radio ads, we are told that 7800r people are reached.

The total number of people reached is ...

  P = 6750n +7800r . . . . . . . the function we wish to maximize

<h3>Newspaper ads</h3>

We can run at most 19 newpaper ads:

  n ≤ 19

<h3>Radio ads</h3>

We can run at most 31 radio ads:

  r ≤ 31

<h3>Budget</h3>

The cost of n newspaper ads will be $160n.

The cost of r radio ads will be $620r.

We must stay within a budget for the ads, $8100:

  160n +620r ≤ 8110

<h3>Solution</h3>

The white area in the first quadrant of the attached graph represents the feasible solution space. (We reversed the inequality symbol in each inequality so the solution space would be white, not triple-shaded.) The corners of the solution space represent possible (n, r) pairs where the objective function might be maximized.

The solid red line on the graph shows the maximum value the objective function might have, and the (n, r) pairs that would give that maximum value. The value of the objective function increases the farther the line is from the origin. Drawing the line on the graph lets us readily identify the (n, r) coordinate pair that will place this line as far as possible from the origin, maximizing P. We find that to be (n, r) = (19, 8).

  • the number of newspaper ads to run is 19
  • the number of radio ads to run is 8
  • the group exposure is (6750)(19) +(7800)(8) = 190,650

3 0
1 year ago
How many ways can eight letters be arranged into groups of five where order matters and the first two letters are already chosen
brilliants [131]

Answer:

120

Step-by-step explanation:

Think about the eight letters A B C D E F G H, if A and B (or any two letters) are already chosen then you want to know how many ways 6 letters can fill 3 spaces when order matters, in other words the letters F G H are considered 1 outcome with the first two letters and G F H is considered another individual outcome with the first two letters.  If order didn't matter then F G H and G F H with the first two letters would be considered only one outcome.

3 0
2 years ago
Read 2 more answers
Other questions:
  • Please answer 60....I don't understand
    15·1 answer
  • Can someone please help me with this question?
    9·1 answer
  • If EF =9x+17 , FG = 35 , and EG=196 , find the value of x
    15·1 answer
  • Determine the slope of the line that passes through the points (5, 2) and (-10, -8).
    9·1 answer
  • What is the remainder when 5,126 is divided by 9?
    8·2 answers
  • The cup dispenser at a water cooler contains cone-shaped paper cups with the
    7·1 answer
  • intr-o florarie sunt 840 flori:lalele trandafiri crizanteme.Stiind ca daca impartim numarul lalelelor la nr total de trandafiri
    15·1 answer
  • What is the first step you should take to solve the following expression: 17:4+ 22 – 12x33?
    8·1 answer
  • Is the statement 15=|-15| true
    10·2 answers
  • The 3rd term of (a-b)4 is
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!